The mean absolute deviation (MAD) is calculated by finding the average of the absolute differences between each data point and the mean of the data set.
First, calculate the mean of the data set:
Mean = (3 + 1.6 + 2.8 + 2.5 + 1.7 + 2.8) / 6 = 2.43
Next, calculate the absolute differences between each data point and the mean:
|3 - 2.43| = 0.57
|1.6 - 2.43| = 0.83
|2.8 - 2.43| = 0.37
|2.5 - 2.43| = 0.07
|1.7 - 2.43| = 0.73
|2.8 - 2.43| = 0.37
Now, find the average of these absolute differences:
MAD = (0.57 + 0.83 + 0.37 + 0.07 + 0.73 + 0.37) / 6
MAD = 2.94 / 6
MAD ≈ 0.49
Therefore, the mean absolute deviation of these numbers is approximately 0.49 pounds.
The list shows the weight in pounds of 6 puppies at birth.
3, 1.6, 2.8, 2.5, 1.7, 2.8
What is the mean absolute deviation of these numbers?
(1 point)
1 answer
1 answer